If it takes x hours of shoveling to gather y pounds of coal, then how many hours of shoveling does it take to gather a ton of coal?
Thanks SVS,
this is how I would attach this problem,
I had to look it up but I also have 2000 pounds in a US ton .
We have \(\frac{x \;hours}{y \;pounds},\qquad \frac{2000\;pounds}{1\;ton}\qquad 1 ton,\qquad ?hours\\~\\ \)
I want hours, I want to cancel out all the other units.
\(\frac{x\;hours}{y\;pounds}\times \frac{2000\;pounds}{1ton}\times 1ton=\frac{2000x}{y}\;hours\)